Answer
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Step 1:I'll solve this step by step using the guidelines you specified:
Step 2:: Translate the word problem into an algebraic equation
Let $$x$$ be the unknown number.
The problem states that 60 percent of x is 30.
Step 3:: Convert the percentage to a decimal
60\% = 0.60
Step 4:: Set up the equation
0.60x = 30
Step 5:: Solve for x by dividing both sides by 0.60
x = \frac{30}{0.60}
Step 6:: Calculate the value of x
x = 50
Step 7:: Verify the solution
0.60 \times 50 = 30 \checkmark
Final Answer
Verification: 60 percent of 50 is indeed 30 (0.60 \times 50 = 30).
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